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232366896 = 24328918131
BaseRepresentation
bin11011101100110…
…10001100110000
3121012020110110100
431312122030300
5433441220041
635020232400
75521041336
oct1566321460
9535213410
10232366896
1110a18a763
126599b700
13391aa708
1422c09b56
15155ee6b6
hexdd9a330

232366896 has 60 divisors (see below), whose sum is σ = 657647640. Its totient is φ = 76581120.

The previous prime is 232366889. The next prime is 232366913. The reversal of 232366896 is 698663232.

232366896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3751 + ... + 21881.

It is an arithmetic number, because the mean of its divisors is an integer number (10960794).

Almost surely, 2232366896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232366896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328823820).

232366896 is an abundant number, since it is smaller than the sum of its proper divisors (425280744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232366896 is a wasteful number, since it uses less digits than its factorization.

232366896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18234 (or 18225 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 232366896 is about 15243.5854050154. The cubic root of 232366896 is about 614.7871085457.

The spelling of 232366896 in words is "two hundred thirty-two million, three hundred sixty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 4272 6408 12816 18131 36262 54393 72524 108786 145048 163179 217572 290096 326358 435144 652716 870288 1305432 1613659 2610864 3227318 4840977 6454636 9681954 12909272 14522931 19363908 25818544 29045862 38727816 58091724 77455632 116183448 232366896